Finite-temperature properties of string-net models

التفاصيل البيبلوغرافية
العنوان: Finite-temperature properties of string-net models
المؤلفون: Ritz-Zwilling, Anna, Fuchs, Jean-Noël, Simon, Steven H., Vidal, Julien
سنة النشر: 2024
المجموعة: Condensed Matter
High Energy Physics - Theory
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Other Condensed Matter, High Energy Physics - Theory, Quantum Physics
الوصف: We consider a refined version of the string-net model which assigns a different energy cost to each plaquette excitation. Using recent exact calculations of the energy-level degeneracies we compute the partition function of this model and investigate several thermodynamical quantities. In the thermodynamic limit, we show that the partition function is dominated by the contribution of special particles, dubbed pure fluxons, which trivially braid with all other (product of) fluxons. We also analyze the behavior of Wegner-Wilson loops associated to excitations and show that they obey an area law, indicating confinement, for any finite temperature except for pure fluxons that always remain deconfined. Finally, using a recently proposed conjecture, we compute the topological mutual information at finite temperature, which features a nontrivial scaling between system size and temperature.
Comment: 22 pages, 21 figures, may be considered as part 2 of arXiv:2309.00343
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.19713
رقم الأكسشن: edsarx.2406.19713
قاعدة البيانات: arXiv